352-0510/01 – Optimization (OS)

Gurantor departmentDepartment of Control Systems and InstrumentationCredits6
Subject guarantorprof. Ing. Miluše Vítečková, CSc.Subject version guarantorprof. Ing. Miluše Vítečková, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semesterwinter
Study languageCzech
Year of introduction2004/2005Year of cancellation
Intended for the facultiesFSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
VIT60 prof. Ing. Miluše Vítečková, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+2
Combined Credit and Examination 12+4

Subject aims expressed by acquired skills and competences

The main objective of the subject “Optimization” is acquainting students with methods of static and dynamic optimization. A student must be able to design of the objective function and propose the solution method. In the area of the dynamic optimization a student will be able to design so control, which ensures optimal control from the different point of view, e.g. energy, time, deviation etc.

Teaching methods

Lectures
Tutorials
Project work

Summary

Optimality criteria, conditions for optimality, constrains, forms of solution. The analytical and numerical methods of minimization of functions of single and several variables, equality constrains, inequality constrains. Kuhn-Tucker conditions, saddlepoint conditions. Minimizations of functionals, optimal control problems. Bellman’s principle of optimality and dynamic programming. Pontryagin’s minimum principle . Calculus of variations. The method of

Compulsory literature:

REKLAITIS, G. V., RAVINDARN, A., RAGSDELL, K. M. Engineering Optimization. Methods and Applications. John Wilea and Sons, New York, 1983, ISBN 0-471-05579-4

Recommended literature:

ANDERSON, B. D. O., MOORE, J. Optimal Control. Linear Quadratic Methods. Prentice Hal International, London, 1989, ISBN 0-13-638651-2

Way of continuous check of knowledge in the course of semester

Napsání dvou testů a vypracování tří programů.

E-learning

Další požadavky na studenta

Writing of two tests and elaboration of three tasks.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Optimality criteria, conditions for optimality, constrains, forms of solution. The analytical and numerical methods of minimization of functions of single and several variables, equality constrains, inequality constrains, Kuhn-Tucker conditions, saddle point conditions. Minimization of functionals, optimal control problems. Bellman’s principle of optimality and dynamic programming. Pontryagin’s minimum principle. Calculus of variations. The method of ag-gregation of state variables in optimal control.

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 35 (35) 0
                Project Project 15  0
                Written exam Written test 20  0
        Examination Examination 65 (65) 0
                Written examination Written examination 45  0
                Oral Oral examination 20  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2019/2020 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2018/2019 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2018/2019 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2017/2018 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2017/2018 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2016/2017 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2016/2017 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2015/2016 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2015/2016 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2014/2015 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2014/2015 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2013/2014 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2013/2014 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2012/2013 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2012/2013 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2011/2012 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2011/2012 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2010/2011 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2010/2011 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2009/2010 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2009/2010 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2008/2009 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2007/2008 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2006/2007 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2005/2006 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 2 Compulsory study plan
2004/2005 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner